SEMAINE D'ÉTUDE SUR LE ROLE DE L’ANALYSE ECONOMETRIQUE Etc. 867
provides a good representation of the function which would be
erived empirically, at least as a first approximation.
Were it to appear that an exponential expression cannot
represent the function adequately, the assumption could be
made that the function e"*°¢(6), where p is an appropriate
constant, could be developed as a Taylor series and quite well
represented by its first terms. This is a relatively weak hypo-
-hesis, and one which does not appear to be inacceptable. The
general properties arising when this hypothesis is postulated
are treated in the appendix ("
As an illustration, values ot
335-2)
335-3)
31
Ê :
(335-4)
335-5)
335-6)
X
ta
pa
_
«£
-t
Gu
(1) The study contained in the appendix considers the function [‘@
‘rom zero to infinity; but the characteristics at infinity of the functions ‘ ‘6)
and ¢(0) need not be taken into account in numerical applications. is
therefore possible to consider only a finite range of variation of 0. ‘or
example the interval (o, 100).
Allais - pag. 171